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Finding the Third Proportional to 134,792 and 291,940

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Solution

The third proportional to 134,792 and 291,940 is: 632,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,792 : 291,940 = 291,940 : x
  2. Step 2: Convert to fraction form
    134,792/291,940 = 291,940/x
  3. Step 3: Cross multiply
    134,792x = 291,940 × 291,940
  4. Step 4: Simplify right side
    134,792x = 85,228,963,600
  5. Step 5: Solve for x
    x = 85,228,963,600/134,792
  6. Step 6: Final answer
    x = 632,299.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.